Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050co |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
904489565021289000 = 23 · 38 · 53 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-244152,7961656] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:5546:1] |
Generators of the group modulo torsion |
j |
3659383421/2056392 |
j-invariant |
L |
5.5979573665894 |
L(r)(E,1)/r! |
Ω |
0.24174774213381 |
Real period |
R |
2.8945241201816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350cg2 76050fx2 5850cb2 |
Quadratic twists by: -3 5 13 |